Creating and controlling band gaps in periodic media with small resonators

We investigate spectral properties of the Neumann Laplacian ${\mathcal A}_\varepsilon$ on a periodic unbounded domain ${\Omega}_\varepsilon$ depending on a small parameter $\varepsilon>0$. The domain ${\Omega}_\varepsilon$ is obtained by removing from ${\mathbb R}^n$ $m\in{\mathbb N}$ familie...

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Bibliographic Details
Date:2023
Main Authors: Khrabustovskyi, Andrii, Khruslov, Evgen
Format: Article
Language:English
Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна Національної академії наук України 2023
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Online Access:https://jmag.ilt.kharkiv.ua/index.php/jmag/article/view/1015
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Journal Title:Journal of Mathematical Physics, Analysis, Geometry

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Journal of Mathematical Physics, Analysis, Geometry